An important measure to compare the two strategies A and B is which direction the transition is stronger or more probable, an A mutant fixating in a population of agents using B, \(\rho _{B,A}\) , or a B mutant fixating in the population of agents using A, \(\rho _{A,B}\) . It can be shown that the former is stronger, in the limit of large \(N\) , if [1]}, [2]}
\(\pi _{A,A} + \pi _{A,B} > \pi _{B,A} + \pi _{B,B}.\) 
